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Finding the Fourth Proportional to 329,713.53, 455,013.90 and 186,495.54

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Solution

The fourth proportional to 329,713.53, 455,013.90 and 186,495.54 is: 257,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.53 : 455,013.90 = 186,495.54 : x
  2. Step 2: Convert to fraction form
    329,713.53/455,013.90 = 186,495.54/x
  3. Step 3: Cross multiply
    329,713.53x = 455,013.90 × 186,495.54
  4. Step 4: Simplify right side
    329,713.53x = 84,858,062,988.01
  5. Step 5: Solve for x
    x = 84,858,062,988.01/329,713.53
  6. Step 6: Final answer
    x = 257,369.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.